Transitivities in Projective Planes
Transitivities in Projective Planes
复制标题
射影平面中的传递性
DOI：
--
复制
发表时间：
1957
期刊：
影响因子：
--
通讯作者：
T. Ostrom
中科院分区：
文献类型：
--
作者：
T. Ostrom
射影平面上的透视性是一种直射变换，它使某些直线逐点固定。Baer（4）考虑了允许某些透视组的平面的坐标化。André（1;2;3）对Veblen-Wedderburn平面的透视性进行了广泛的研究。作者证明了（7）：如果直线上的点数为n + 1，其中n是奇数非平方，则有限双传递平面是Desklesian平面。
A perspectivity in a projective plane is a collineation which leaves some line pointwise fixed. Baer (4) has considered the coordinatization of planes which admit certain groups of perspectivities. André (1;2;3) has made an extensive study of the Veblen-Wedderburn plane in terms of its perspectivities. The author has shown (7) that finite doubly transitive planes are Desarguesian if the number of points on a line is n + 1 where n is an odd non-square.